1. 1
   A cuboid has dimensions 5 cm by 4 cm by 3 cm.

   (a)

   What is its volume?

   [1 mark]

   • A$12\ \text{cm}^3$
   • B$47\ \text{cm}^3$
   • C$60\ \text{cm}^3$
   • D$94\ \text{cm}^3$

   (b)

   What is the total surface area of this cuboid?

   [1 mark]

   • A$47\ \text{cm}^2$
   • B$94\ \text{cm}^2$
   • C$60\ \text{cm}^2$
   • D$120\ \text{cm}^2$

   (c)

   How many edges does a cuboid have?

   [1 mark]

   • A$6$
   • B$8$
   • C$10$
   • D$12$

   Total for question 1: 3 marks

2. 2
   A cylinder has radius 4 cm and height 10 cm. Use $\pi = 3.14$.

   (a)

   A cylinder has radius 4 cm and height 10 cm. Using $\pi = 3.14$, find the volume of the cylinder.

   [2 marks]

   (b)

   Find the curved surface area of the cylinder (excluding the two circular ends).

   [2 marks]

   Total for question 2: 4 marks

3. 3
   A triangular prism has a cross-sectional area of 18 $\text{cm}^2$ and a length of 25 cm.

   (a)

   Find the volume of the prism.

   [3 marks]

   (b)

   Convert the volume found in part (a) into litres, given that 1 litre $= 1000\ \text{cm}^3$.

   [3 marks]

   Total for question 3: 6 marks

4. 4
   A water tank is a cuboid measuring 2 m by 1.5 m by 1 m. It is filled using a cylindrical pipe of radius 0.2 m and length 3 m. Use $\pi = 3.14$.

   (a)

   A water tank is a cuboid measuring 2 m by 1.5 m by 1 m. Find the volume of the tank in $\text{m}^3$, and convert this volume into litres, given that $1\ \text{m}^3 = 1000$ litres.

   [4 marks]

   (b)

   The tank is filled using a cylindrical pipe of radius 0.2 m and length 3 m. Using $\pi = 3.14$, find the volume of the pipe, giving your answer in $\text{m}^3$ correct to 3 significant figures.

   [4 marks]

   (c)

   The empty tank is filled using water flowing through the pipe at a constant rate of 0.377 $\text{m}^3$ per minute (the value found in part (b)). Using the tank volume found in part (a), calculate the time taken, in minutes, to fill the tank completely, giving your answer to 1 decimal place.

   [5 marks]

   Total for question 4: 13 marks

End of questions